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BLU 623E - Applied Probability and Probabilistic System Analysis

Course Objectives

1) To teach fundamentals of probability theory.
2) To teach applications of probability theory in informatics.

Course Description

Introduction to Probabilistic Modeling, Conditional Probability, Combinatorics. Discrete
Random Variables, Extension to higher dimensions. Continuous Random Variables, Extension to
higher dimensions. Derived Distributions; Convolution, Covariance, Correlation. Sums of a
random number of random variables. Prediction, Estimation, Convergence in Probability. Signal-to-Noise Ratio. Random Processes (Bernoulli, Poisson, Gaussian), Markov Chains. Laws of
Large Numbers. Bayesian Inference. Hypothesis Testing. Applications on Queueing Theory.
Applications on Statistical Learning

Course Coordinator
Behçet Uğur Töreyin
Behçet Uğur Töreyin
Course Language
English
 
 
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